A Novel Semi-Active Multi-Modal Vibration Control Law for a Piezoceramic Actuator

2003 ◽  
Vol 125 (2) ◽  
pp. 214-222 ◽  
Author(s):  
Lawrence R. Corr ◽  
William W. Clark
Keyword(s):  
Vibration Control ◽  
Flexible Structures ◽  
Experimental Tests ◽  
Control Technique ◽  
Practical Implementation ◽  
Control Law ◽  
Energy Rate ◽  
Piezoceramic Actuator ◽  
Control Scheme ◽  
Modal Vibration

In this paper, a novel semi-active energy rate multi-modal vibration control technique is developed for a piezoceramic actuator coupled to a switching resistor/inductor shunt. The technique works by briefly connecting a resistor/inductor shunt to a piezoceramic actuator in order to apply the necessary signed charge to allow energy dissipation. The switch timing is determined by a control scheme that observes the rate of energy change in controlled modes. The control scheme is developed in the paper, and is simplified to enable practical implementation. This new multi-modal control law is applied to both a simple numerical and an experimental test structure. The results from the numerical and experimental tests show that the energy rate multi-mode control law is able to dissipate energy from one, two and three modes of the flexible structures using a single actuator.

Regulation of a Two-Degree-of-Freedom Structure Using Internal Resonance

1995 ◽  
Vol 117 (2) ◽  
pp. 247-251 ◽  
Author(s):  
Shafic S. Oueini ◽  
Kevin L. Tuer ◽  
M. Farid Golnaraghi
Keyword(s):  
Internal Resonance ◽  
Control Technique ◽  
Control Law ◽  
Nonlinear Feedback ◽  
Flexible Arm ◽  
Control Scheme ◽  
Single Input ◽  
Linear Differential ◽  
Two Degree Of Freedom ◽  
Input Torque

In this paper, we present a first attempt at using an energy based control technique to regulate the oscillations of a flexible joint, flexible arm device, through computer simulation. This technique takes advantage of the Internal Resonance (IR) phenomenon. The plant is governed by two coupled linear differential equations. The control scheme is implemented by introducing two software based controllers which are coupled dynamically with the plant through a nonlinear feedback control law. At Internal Resonance, the nonlinear coupling generates an energy link between the plant and the controllers. Thus, energy is transferred from the plant to the controllers where two active damping mechanisms subsequently dissipate it. Here the response of the structure is regulated with a single input torque applied to one plant coordinate. The theoretical analysis is based on the two-variable expansion perturbation method. Thereafter, the analytical findings are verified numerically. Simulation results indicate that the IR control strategy is able to effectively quench the oscillations of the plant.

scholarly journals NonlinearH∞Optimal Control Scheme for an Underwater Vehicle with Regional Function Formulation

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Zool H. Ismail ◽  
Matthew W. Dunnigan
Keyword(s):  
Autonomous Underwater Vehicle ◽  
Tracking Error ◽  
Underwater Vehicle ◽  
Control Technique ◽  
Control Law ◽  
Parameter Uncertainties ◽  
External Disturbances ◽  
Control Scheme ◽  
Highly Nonlinear ◽  
Region Tracking

A conventional region control technique cannot meet the demands for an accurate tracking performance in view of its inability to accommodate highly nonlinear system dynamics, imprecise hydrodynamic coefficients, and external disturbances. In this paper, a robust technique is presented for an Autonomous Underwater Vehicle (AUV) with region tracking function. Within this control scheme, nonlinearH∞and region based control schemes are used. A Lyapunov-like function is presented for stability analysis of the proposed control law. Numerical simulations are presented to demonstrate the performance of the proposed tracking control of the AUV. It is shown that the proposed control law is robust against parameter uncertainties, external disturbances, and nonlinearities and it leads to uniform ultimate boundedness of the region tracking error.

Sliding Mode Based LMI Criterion for Robust Stabilization of Uncertain Fractional Order Nonlinear Systems

2013 ◽  
Author(s):  
Sara Dadras ◽  
YangQuan Chen
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Nonlinear Dynamical Systems ◽  
Sliding Mode ◽  
Control Technique ◽  
Control Law ◽  
Mode Control ◽  
Systems Model ◽  
Control Scheme

A robust sliding mode control (SMC) technique is introduced in this paper for a class of fractional order (FO) nonlinear dynamical systems. Using the sliding mode control technique, a sliding surface is determined and the control law is established. A new LMI criterion based on the sliding mode control law is derived to make the states of the FO nonlinear system asymptotically gravitate toward the origin which can work for any order of the system, 0<q<2. The designed control scheme can also control the uncertain FO nonlinear systems, i.e. the controller is robust against the system uncertainty and guarantees the property of asymptotical stability. The advantage of the method is that the control scheme does not depend on the order of systems model and it is fairly simple. So, there is no complexity in the application of our proposed method. An illustrative simulation result is given to demonstrate the effectiveness of the proposed robust sliding mode control design.

Vibration Control of Structures Taking Power Assisted Conveyance Into Account

2009 ◽  
Author(s):  
Susumu Hara ◽  
Yoji Yamada ◽  
Koji Ito ◽  
Yoshifumi Morita
Keyword(s):  
Vibration Control ◽  
Control Method ◽  
Impedance Control ◽  
Flexible Structures ◽  
Rigid Bodies ◽  
Control Technique ◽  
Assist Devices ◽  
Physical Burden ◽  
Impedance Characteristics ◽  
Lq Optimal Control

In order to reduce physical burden of workers on conveying and mounting works in industries, power assist devices have been introduced. In many conventional power assist devices, controlled objects are assumed as rigid bodies. The vibration control technique for handling flexible structures has not been fully addressed yet. This paper presents an effective vibration control method for conveying mechanical structures with power assist. In this study, the power assist is realized by an impedance control method. If the impedance characteristics of the power assisted object are perfectly controlled by the impedance control, the impedance characteristics are known and correspond to the dynamic characteristics of the disturbance for the vibration control. Then, this study adopts the disturbance accommodated LQ optimal control method for the vibration control problem. A cart with a one-degree-of-freedom vibration system is selected as a controlled object example. The effectiveness of the proposed method is verified by simulations.

scholarly journals Vibration Control by Means of Piezoelectric Actuators Shunted withLRImpedances: Performance and Robustness Analysis

2015 ◽  
Vol 2015 ◽  
pp. 1-30 ◽  
Author(s):  
M. Berardengo ◽  
A. Cigada ◽  
S. Manzoni ◽  
M. Vanali
Keyword(s):  
Vibration Control ◽  
Robustness Analysis ◽  
Piezoelectric Actuators ◽  
Control Technique ◽  
Practical Implementation ◽  
Electric Impedance ◽  
Tuned Mass Dampers ◽  
Test Setup ◽  
Vibration Attenuation ◽  
Shunt Impedance

This paper deals with passive monomodal vibration control by shunting piezoelectric actuators to electric impedances constituting the series of a resistance and an inductance. Although this kind of vibration attenuation strategy has long been employed, there are still unsolved problems; particularly, this kind of control does suffer from issues relative to robustness because the features of the electric impedance cannot be adapted to changes of the system. This work investigates different algorithms that can be employed to optimise the values of the electric components of the shunt impedance. Some of these algorithms derive from the theory of the tuned mass dampers. First a performance analysis is provided, comparing the attenuation achievable with these algorithms. Then, an analysis and comparison of the same algorithms in terms of robustness are carried out. The approach adopted herein allows identifying the algorithm capable of providing the highest degree of robustness and explains the solutions that can be employed to resolve some of the issues concerning the practical implementation of this control technique. The analytical and numerical results presented in the paper have been validated experimentally by means of a proper test setup.

Practical Implementation Issues for Active Control of Large Flexible Structures

1989 ◽  
Vol 111 (3) ◽  
pp. 283-289 ◽  
Author(s):  
D. C. Zimmerman ◽  
H. H. Cudney
Keyword(s):  
Active Control ◽  
Control Strategies ◽  
Flexible Structures ◽  
Practical Implementation ◽  
Control Law ◽  
Actuator Dynamics ◽  
Analog To Digital ◽  
Digital Implementation ◽  
Digital To Analog Converters ◽  
And Performance

Most active control strategies, whether designed in the discrete or continuous domain, will most likely be implemented using a digital control system. Therefore, it is important to study the effects of digital implementation on the desired control law. In this work, the effect of quantization due to the finite wordlength of microprocessors, analog-to-digital, and digital-to-analog converters, on the desired control law is investigated. Additionally, the practical effect of actuator dynamics on the stability and performance of the control law is addressed. Finally, an active control experiment is reported on which takes into account and demonstrates some of these practical considerations.

Enhanced Composite Nonlinear Control Technique using Adaptive Control for Nonlinear Delayed Systems

2020 ◽  
Vol 13 (3) ◽  
pp. 396-404
Author(s):  
Sonal Singh ◽  
Shubhi Purwar
Keyword(s):  
Adaptive Control ◽  
Actuator Saturation ◽  
Input Saturation ◽  
Chemical Reactor ◽  
Control Technique ◽  
Control Law ◽  
Nonlinear Feedback ◽  
Composite Nonlinear Feedback ◽  
Delayed Systems ◽  
Analysis Of Stability

Background and Introduction: The proposed control law is designed to provide fast reference tracking with minimal overshoot and to minimize the effect of unknown nonlinearities and external disturbances. Methods: In this work, an enhanced composite nonlinear feedback technique using adaptive control is developed for a nonlinear delayed system subjected to input saturation and exogenous disturbances. It ensures that the plant response is not affected by adverse effect of actuator saturation, unknown time delay and unknown nonlinearities/ disturbances. The analysis of stability is done by Lyapunov-Krasovskii functional that guarantees asymptotical stability. Results: The proposed control law is validated by its implementation on exothermic chemical reactor. MATLAB figures are provided to compare the results. Conclusion: The simulation results of the proposed controller are compared with the conventional composite nonlinear feedback control which illustrates the efficiency of the proposed controller.

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